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Finding the Third Proportional to 6,704 and 7,792

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Solution

The third proportional to 6,704 and 7,792 is: 9,056.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,704 : 7,792 = 7,792 : x
  2. Step 2: Convert to fraction form
    6,704/7,792 = 7,792/x
  3. Step 3: Cross multiply
    6,704x = 7,792 × 7,792
  4. Step 4: Simplify right side
    6,704x = 60,715,264
  5. Step 5: Solve for x
    x = 60,715,264/6,704
  6. Step 6: Final answer
    x = 9,056.57

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Why These Related Problems?

These problems maintain the same ratio (1.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.